Is there a good epistemological argument against platonism?

Analysis 66 (2):135–141 (2006)
Authors
David Liggins
University of Manchester
Abstract
Platonism in the philosophy of mathematics is the doctrine that there are mathematical objects such as numbers. John Burgess and Gideon Rosen have argued that that there is no good epistemological argument against platonism. They propose a dilemma, claiming that epistemological arguments against platonism either rely on a dubious epistemology, or resemble a dubious sceptical argument concerning perceptual knowledge. Against Burgess and Rosen, I show that an epistemological anti- platonist argument proposed by Hartry Field avoids both horns of their dilemma.
Keywords nominalism   mathematics
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DOI 10.1111/j.1467-8284.2006.00601.x
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References found in this work BETA

Nominalism.Zoltán Gendler Szabó - 2003 - In Michael J. Loux & Dean W. Zimmerman (eds.), The Oxford Handbook of Metaphysics. Oxford University Press.
Mathematical Truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.
Realism in Mathematics.Penelope Maddy - 1990 - Oxford University Prress.

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Citations of this work BETA

In Defence of Error Theory.Chris Daly & David Liggins - 2010 - Philosophical Studies 149 (2):209-230.
Epistemological Objections to Platonism.David Liggins - 2010 - Philosophy Compass 5 (1):67-77.
Anti-Nominalism Reconsidered.David Liggins - 2007 - Philosophical Quarterly 57 (226):104–111.

View all 11 citations / Add more citations

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Platonism and Anti-Platonism: Why Worry?Mary Leng - 2005 - International Studies in the Philosophy of Science 19 (1):65 – 84.

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